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Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink]
17 Jun 2013, 23:40

1

This post received KUDOS

Expert's post

Smita04 wrote:

If xy < 4, is x < 2 ?

(1) y > 1 (2) y > x

From F.S 1, when y = 4, x = 0.5, xy<4 and x<2.Hence a YES for the question stem. However, for y = 3/2 and x = 2, xy<4 and x=2, hence a NO for the question stem.Insufficient.

From F. S 2, we know that y>x.

Had y been equal to x, we would have x*x<4 --> |x|<2 --> -2<x<2

However, as y>x, to maintain the above given inequality, the value of x will have to reduce even further. Thus, x <2. Sufficient.

Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________

Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink]
27 Jul 2013, 20:52

nguyenduong wrote:

- A is insufficient. - Option B. what if x or y is negative integer. I don't see you mentioned it in your answer.

nguyenduong,

Interpretation should be based on given (true) statements. Given here xy<4 and for pt. (2) y>x.

Take any signs, y has to be greater than x or greater part of the multiplication with x resulting in a product smaller than 4. Consider if xy was 4 (xy=4) and y=x then both x & y would have been + /- 2. Now when the product reduces (product < 4), x has to be always less than the equal contribution i.e. 2.

Hope I could explain.

_________________

------- IaintGivinUp! GMAT assassins aren't born, they are made.

Re: If xy < 4, is x < 2 ? (1) y > 1 (2) y > x [#permalink]
28 Jul 2013, 03:48

Expert's post

nguyenduong wrote:

- A is insufficient. - Option B. what if x or y is negative integer. I don't see you mentioned it in your answer.

The question asks whether x<2. Now, for (2) if x is negative, then x<0<2 and if y is negative, then x<y<0<2. In either case we have an YES answer to the question.